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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi
Syaifudin, Rizky Aziz
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Mathematics

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The Boundedness of Generalized Fractional Integral Operators on Small Morrey Spaces Syaifudin, Rizky Aziz; Karim, Corina; Marjono, Marjono; Rahman, Hairur
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 9, No 1 (2024): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v9i1.24309

Abstract

The small Morrey space is the set of locally Lebesgue integrable functions with norm defined supremum over radius of ball . This paper aims to prove the boundedness properties of the generality of fractional integral operators in small Morrey spaces using Hedberg-type inequality.  The first, in this paper will be discuss to prove Hedberg-type inequality on small Morrey spaces using dyadic decomposition, H lder inequality, and doubling condition. Furthermore, by using the inequality, it can be proven that the boundedness of generalized fractional integral operators on small Morrey spaces.
Co-Authors Hairur Rahman Karim, Corina Marjono Marjono